Paradise Trinity Day

[Amigoo]

Re: Pythagorean Pivot design
"Quadrature is a delicate balance of Pi."

If the circle can be squared ...
clues may exist in the Pythagorean Pivot
of sqrt(2)-related isosceles right triangles.

Rod ... ...

[Amigoo]

Re: Pythagorean Pivot design*
"Quadrature is a delicate balance of Pi."

* added to: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

Rod

[Amigoo]

Re: Pythagorean Pivot design
"Quadrature is a delicate balance of Pi."

Diameter was removed for composition clarity
that now highlights "delicate balance of Pi".

"Where's the diameter?" Surely you jest!

Rod ... ...

[Amigoo]

Re: https://www.dailymail.co.uk/health/arti ... argue.html

"Calling people 'obese' is hurtful, claim top psychologists who say
the correct term is 'living with obesity' because the condition is NOT a choice"

Somehow there's a disconnect in this perspective ...
since losing weight by exercise and better diet is a choice
... as many people prove every year.

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design
"Quadraturial PMS"

Who can tell
(seems to explain the obesity disconnect)

Rod

[Amigoo]

Re: http://board.1111angels.com/viewtopic.p ... 00#p203218

Q tip #3: Qubit computers will still not find the last digit of Pi ...
because the Pi model(s) itself is inherently transcendental (IMO).

And seems to hint that sqrt(2) is the necessary Pi Corral.

Rod ... ...

[Amigoo]

Re: Pythagorean Mirror Senter design

Geometer's secret: "Senter" is derived from "Sentient" and "Center",
suggesting that a circle squared knows that it is the controversial center
of Quadrature, long-proven "impossible".

And since "Qubit computers will still not find the last digit of Pi
because the Pi model(s) itself is inherently transcendental (IMO)."

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design

Speaking of sqrt(2) ...

In a CSCSC geometric construct where D = 1 and D = 2 via sqrt(2)
and SoCS = sqrt(Pi)/2 and sqrt(Pi), inner and outer diameters associate by 2,
suggesting that Pi itself must be divisible by 2 ... precisely

And further suggesting that Transcendental/2 is a non-transcendental reality
... or that Pi has been mathematical "sleight of hand" for centuries.

"Say what?!" Pi on your fork is real -
all other Pi is imaginary (theoretical).

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design
" . " (period, end of sentence)

Rod ... ...

[Amigoo]

Re: Pythagorean Mirror Senter design

Pi has been mathematical "sleight of hand" for centuries.

Regarding circle's inscribed square and non-transcendental sqrt(2):
1/4 of the circle's circumference (an arc) seems to be the necessary clue
that resolves why sqrt(2) should be transcendental or Pi not.

"Say what?!" Arc! Arc!

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design

NTS (re: D=2): Pi : 2 ~ Pi/2 : sqrt(2) ~ Pi/4 : 1

Rod ... ...

[Amigoo]

Re: Pythagorean Mirror Senter design

NTS (re: D=2): Pi : 2 ~ Pi/2 : sqrt(2) ~ Pi/4 : 1

Toward the Pythagorean Model of Pi ...

Divide circle's diameter by sqrt(2) x times, then multiply final value (a straight line)
times y to calculate Pythagorean-equivalent semi-circumference z, then Real Pi.

Obviously easy math (to astute geometers) since x, y, and z might be integers
and this method calculates a Pi value tuned to sqrt(2), obvious host of Quadrature.

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design

Toward the Pythagorean Model of Pi ...

Sqrt(2) digression with halfsies

- 2.0
- 1.7071067811865475244008443621048..
- 1.4142135623730950488016887242097..
- 1.2071067811865475244008443621048..
- 1.0
- 0.8535533905932737622004221810524..
- 0.70710678118654752440084436210485..
- 0.60355339059327376220042218105241..
- 0.5
- 0.4267766952966368811002110905262..
- 0.35355339059327376220042218105242..
- 0.3017766952966368811002110905262..
- 0.25

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design

Toward the Pythagorean Model of Pi ...

Sqrt(2) digression with halfsies (grouped)

- 2.0
- 1.7071067811865475244008443621048..
- 1.4142135623730950488016887242097..
- 1.2071067811865475244008443621048..

- 1.0
- 0.85355339059327376220042218105243..
- 0.70710678118654752440084436210485..
- 0.60355339059327376220042218105243..

- 0.5
- 0.42677669529663688110021109052621..
- 0.35355339059327376220042218105242..
- 0.30177669529663688110021109052621..

- 0.25
- 0.21338834764831844055010554526311..
- 0.17677669529663688110021109052621..
- 0.15088834764831844055010554526311..

- 0.125

Rod

[Amigoo]

Re: Pythagorean Mirror Senter design

Toward the Pythagorean Model of Pi (PPi) ...

Apparently, PPi must be evenly divisible by sqrt(2)
... or one of its increments/decrements.

Rod ... ...

[Amigoo]

Re: Quadrature! design*

GTSFI ... with overlapping CSC and lotsa sqrt(2).

* added to: http://aitnaru.org/images/Pi_Fork_n_Lute.pdf

Rod

[Amigoo]

Re: Quadrature! design

Speaking of CSC ...
this geometry proves that a circle's circumference
always has sqrt(2) relationship to its diameter:
D : C/2, D/2 : C/4, D/4 : C/8, D/8 : C/16

with the constant ratio: 1 / (Pi/2)
= 0.63661977236758134307553505349006..

Rod

[Amigoo]

Re: Quadrature! GPS design

Who knew
Quadrature requires a Geometric Positioning Solution.
(note digression pattern of circumference arcs
in relation to division of circumference by 2)

Rod

[Amigoo]

Re: Quadrature! GPS design

circumference has sqrt(2) relationship to diameter:
D : C/2, D/2 : C/4, D/4 : C/8, D/8 : C/16

arcs of decreasing circumference
4/8 (.5), 3/8 (.375), 2/8 (.25), 1/8 (.125)

Rod ... ...

[Amigoo]

Re: Quadrature! GPS design

Who knew Quadrature speaks Spiral.

"Spiral" is just a feature of the CSC geometric construct,
with GPS just conjecturing how sqrt(2) might attune to Pi.

Rod

[Amigoo]

Re: Quinale! design

Tip: "Qu" is for Quadrature.

Rod ... ...

[Amigoo]

Re: Quinale! design

Geometers' secret ...

While the center "handle" originated as colorful, geometric balance,
it might allude to the curtain of "transcendental" Pi being opened.

Rod ... ...

[Amigoo]

Re: Quinale! design

Geometers' secret ...

The geometric busyness at the bottom of the design (same color as "Pi Fork")
was created while confirming the consistent line length ratios throughout:
2.0, sqrt(2), sqrt(Pi), 2/sqrt(Pi)

Rod

[Amigoo]

Re: Quinale! design
( http://aitnaru.org/images/Pi_Fork_n_Lute.pdf )

Geometer's secret ...
The unusal geometric construct of the "handle"
is an abstract 'Q' symbol for "Quadrature".

Rod ... ...

[Amigoo]

Re: Quinale! design

Still, centuries later (or millennia), geometers are asking:
"Which came first: the circle or the square?"

Quadraturially speaking, the answer is "Yes" ...
since the circle-squaring right triangle (foundation of "Pi Fork")
defines both the circle and its square where the long side length
equals Side of Circle's Square and hypotenuse is circle's diameter.

In these Cartesian Neighborhoods, the line drawn first
effectively identifies which came first.

Rod